Recent Tutoring Session Reviews
"After we reviewed concepts regarding rational and irrational numbers, including an interesting problem involving lengths of various segments of a pyramid, we discussed similarity. I explained the basic concept by drawing different sizes of 45-45-90 triangles and pointed out that corresponding sides are proportional if two pairs of angles are congruent (same measure). I demonstrated a problem in which one must solve a proportion by cross multiplication. I mentioned the idea of two similar figures from re-sizing a photograph on a smartphone."
"Algebra - The student's test was moved to Tuesday instead of Thursday, so we went over the same concepts again, and he made his support notecard for the test. We briefly touched on his science test for Wednesday, but he said he felt comfortable with the material. It is mostly on atomic theory and history of the theory of the atom, so I told him to read the chapter before his test and finish the review sheet."
"Although the student doesn't have a math class this trimester, his mother wanted us to get together to review some concepts he struggled with at the end of his previous class and to prepare for his upcoming course in the third trimester. Working from his teacher's suggested topics, we reviewed some trigonometric concepts and practiced some algebraic techniques such as simplifying square roots and rationalizing the denominator."
"Because the student didn't have any math homework and had a quiz and test in biology coming up, we worked on some biology today. She was working on genetics and pedigrees. The assignment was to determine how a disorder's genes worked (autosomal vs. sex-linked and dominant vs. recessive) using a given pedigree. We basically just worked through the genetics of each of the four options to see if it worked for the pedigree in question. She mostly understood the concepts. She struggled a bit with the genotypes for dominant and recessive alleles. Before we started on the biology review, she told me that she'd gotten, I believe, a 90 and 94 on her last geometry quiz and test, respectively. Her retake quiz score is much better than the first one, which is great."
"Because the student was scheduled to have a quiz on networks and angle measures the following Wednesday, I spent this session giving her practice networks to solve on her own. I gave her problems that took up the majority of the session, each one with increasing difficulty to provide her with a variety of possible questions that she could be asked on her quiz. These questions tested her on the supplementary angle rule; the implications of parallel and perpendicular line relationships; using angle relationships to her advantage; and being able to solve angle measures that have been written as fractions, radicals, or expressions."
"Because the student's last day of school is tomorrow, she didn't have any homework, so we got a head start on studying for her midterm, which will be in January. We went over the same angle complements theorem, same angle supplements theorem, and right angle theorem. We also practiced a lot of two-column proofs! Interestingly, although the student is confident about the more difficult material (like isosceles triangles), she has a slightly shaky foundation when it comes to the earlier material. We discussed that the best way to study for geometry is to do practice problems!"